A coherent initialization approach for DFE filters has been presented and shown to offer a significant improvement when used together with the least mean squares (LMS) algorithm. In summary, new initialization technique has been the following advantages: improves convergence at the start of the training process, enables the simple LMS to work in difficult channel conditions, allows training and tracking with fast changing channel profiles, enables the implementation of a receiver at very low signal to noise ratios and the linear operation of LMS provides better data recovery for error correcting codes. The I-LMS algorithm performs as well as the much more complex RLS algorithm.